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On the collapse of a wave functionsatisfying a damped driven non-linearSchr ̈odinger equation
Warwick University, UK.
Linnaeus University, Faculty of Technology, Department of Mathematics.
(English)Manuscript (preprint) (Other academic)
Abstract [en]

We show that a physically motivated trial solution of a dampeddriven non-linear Schr ̈odinger equation does neither encounter collapse norso-called pseudocollapse although the exponent of the non-linearity is crit-ical. This result sheds new light on the accuracy of numerical solutions tothis problem obtained in an earlier paper where the authors claim pseudo-collapse of the trial solution when the variance of the driving noise is below a certain level.

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Probability Theory and Statistics
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URN: urn:nbn:se:lnu:diva-42341OAI: oai:DiVA.org:lnu-42341DiVA: diva2:805209
Available from: 2015-04-14 Created: 2015-04-14 Last updated: 2016-02-18Bibliographically approved

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Hilbert, Astrid
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CiteExportLink to record
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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
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